Answer:
E(M) = 23/3
Var(M) = 53/9.
Step-by-step explanation:
There are three possible values for M: 4, 6, and 10.
.
That's six unique combinations in total. If the balls are drawn randomly, the probability for getting each combination shall be equal. That is:
.
Consider the formula for the expected value of a discrete random variable:
.
Formula for the variance of a discrete random variable (note that this formula can take many other forms):
.
Answer:
gcf-32
Step-by-step explanation:
factors of 16: 1, 2, 4, 8, 16
factors of 32: 1, 2, 4, 8, 16, 32
Slope is rise/run
so, you go up 4 times and run across 3 times, this is a positive slope, so the slope is
slope: 4/3
the y-intercept is the line that passes the y-axis, (0, -5),
y-intercept: -5
put it together
4/3x-5
Answer:

Given:
Perimeter of rectangle = 48 in
Length = Twice the width
To Find:
Length of the rectangle
Step-by-step explanation:
Let width of the rectangle be 'w'.
So,
Length of the rectangle = 2w

Width of the rectangle (w) = 8 in
Length of the rectangle = 2w
= 2 × 8
= 16 in